Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 261, Issue 5, Pages 2702-2737Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2016.05.010
Keywords
Stochastic homogenization; Nonconvex Hamilton-Jacobi equation; Dynamical properties of effective Hamiltonians; Metric problem
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Funding
- NSF [DMS-1361236, DMS-1615944]
- NSF CAREER award [1151919]
- Direct For Mathematical & Physical Scien [1151919] Funding Source: National Science Foundation
- Division Of Mathematical Sciences [1151919] Funding Source: National Science Foundation
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We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed. (C) 2016 Elsevier Inc. All rights reserved.
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